On a problem of lower limit in the study of nonresonance with Leray-Lions operator.
On a quasilinear inverse boundary value problem.
On a reaction-diffusion system involving the critical exponent.
In this paper we study the existence and multiplicity of the nontrivial solutions for a given elliptic system with Dirichlet boundary conditions and critical nonlinearity.
On a real Monge-Ampère functional.
On a semilinear elliptic eigenvalue problem
We obtain a description of the spectrum and estimates for generalized positive solutions of -Δu = λ(f(x) + h(u)) in Ω, , where f(x) and h(u) satisfy minimal regularity assumptions.
On a Solution of Degenerate Elliptic-parabolic Systems in Orlicz-Sobolev Spaces II.
On a Solution of Degenerate Elliptic-parabolic Systems in Orlicz-Sobolev Spaces I.
On a Superlinear Elliptic Boundary Value Problem.
On a superlinear elliptic equation
On a Variational Approach to some Quasilinear Problems
We prove some multiplicity results concerning quasilinear elliptic equations with natural growth conditions. Techniques of nonsmooth critical point theory are employed.
On acceleration methods for coupled nonlinear elliptic systems.
On admissibility for parabolic equations in ℝⁿ
We consider the parabolic equation (P) , (t,x) ∈ ℝ₊ × ℝⁿ, and the corresponding semiflow π in the phase space H¹. We give conditions on the nonlinearity F(x,u), ensuring that all bounded sets of H¹ are π-admissible in the sense of Rybakowski. If F(x,u) is asymptotically linear, under appropriate non-resonance conditions, we use Conley’s index theory to prove the existence of nontrivial equilibria of (P) and of heteroclinic trajectories joining some of these equilibria. The results obtained extend...
On an asymptotically linear elliptic Dirichlet problem.
On an elliptic equation with exponential growth
On axially symmetric flows in .
On certain nonlinear elliptic systems with indefinite terms.
On closed-form solutions of some nonlinear partial differential equations.
On elliptic equations in with critical exponents.
On existence of the weak solution for non-linear partial differential equations of elliptic type
On global existence and stationary solutions for two classes of semilinear parabolic problems
We investigate stationary solutions and asymptotic behaviour of solutions of two boundary value problems for semilinear parabolic equations. These equations involve both blow up and damping terms and they were studied by several authors. Our main goal is to fill some gaps in these studies.